How to move multiple objects to a single point?
This effect is what happens when you transform (move) several objects along one of their local axis. You can tell this because in the status bar in the screenshot it says 'along Local Y'.

Each object in that screenshot has been rotated so it's Y axis is pointing inwards or outwards:



Then the Transformation orientation in the 3D header has been set to Local, which means each object's local axis will be taken into account during the transformation:



With all the objects selected, pressing G,Y,Y or moving the 3D Manipulator will start a local transformation on each object's local axis (the green lines):